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Finding the Fourth Proportional to 1,018.51, 1,527.75 and 325.17

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Solution

The fourth proportional to 1,018.51, 1,527.75 and 325.17 is: 487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.51 : 1,527.75 = 325.17 : x
  2. Step 2: Convert to fraction form
    1,018.51/1,527.75 = 325.17/x
  3. Step 3: Cross multiply
    1,018.51x = 1,527.75 × 325.17
  4. Step 4: Simplify right side
    1,018.51x = 496,769.80
  5. Step 5: Solve for x
    x = 496,769.80/1,018.51
  6. Step 6: Final answer
    x = 487.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.